A349404 The maximal coefficient in the expansion of x_1(x_1 + x_2)...(x_1 + x_2 + ... + x_n).

1, 1, 1, 2, 4, 9, 27, 96, 384, 1536, 7500, 37500, 194400, 1166400, 7563150, 52942050, 385351680, 3082813440, 24998984640, 224990861760, 2024917755840, 19051200000000, 190512000000000, 1944663768432000, 21391301452752000

Offset

0,4

Links

Table of n, a(n) for n=0..24.

Sela Fried, On the coefficients of the distinct monomials in the expansion of x1(x1+x2)...(x1+x2+...+xn), arXiv:2111.07331 [math.CO], 2021.

Mathematica

Max/@Table[Values@CoefficientRules[Times@@Array[Total@Array[x, #]&, n]], {n, 0, 12}] (* Giorgos Kalogeropoulos, Nov 16 2021 *)

Crossrefs

Cf. A000140, A065048, A347917.

Sequence in context: A003320 A007876 A343845 * A332979 A176068 A296264

Adjacent sequences: A349401 A349402 A349403 * A349405 A349406 A349407

Keyword

nonn

Author

Sela Fried, Nov 16 2021

Status

approved